AnswersCR CCSS Math 2 S2 M2960OXDilations

Dilations Answers

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Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. The length of A A prime is 16.

Question illustration
A
One-fifth
Option A
B
One-fourth
Option B
C
4
D
5
2
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Triangle JKL was dilated using the rule . The image, triangle J'K'L', is the result of the dilation.

Question illustration
A
5 units
B
7.5 units
C
10 units
D
12.5 units
3

Line segment AB is dilated to create line segment A'B' using point Q as the center of dilation.

Question illustration
A
1
B
1.25
C
2
D
2.5
4

Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Select two options.

A
The triangle pre-image is closer to the point of dilation than the image.
B
The triangle image is closer to the point of dilation than the pre-image.
C
The value of the scale factor, , is between 0 and 1.
Option C
D
The value of the scale factor, 6, is greater than 1.
E
The vertices of the pre-image are collinear with the vertices of the image.
5

Rectangle WXYZ was dilated using the rule .

Question illustration
A
8 units
B
10 units
C
12 units
D
14 units
6

Triangle TUV was dilated to create triangle T'U'V' using point A as the center of dilation.

Question illustration
A
Two-fifths
Option A
B
Two-thirds
Option B
C
Three-halves
Option C
D
Eight-fifths
Option D
7

Line segment AB was dilated to create line segment A'B' using the dilation rule DQ,0.15.

Question illustration
A
2.4 units
B
4.8 units
C
13.6 units
D
14.4 units
8

Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.

Question illustration
A
1.5 units
B
3 units
C
4.5 units
D
6 units
9

Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5.

Question illustration
A
3 units
B
4 units
C
6 units
D
9 units
10

Triangle QRS was dilated using the dilation rule DP,4.

Question illustration
A
6 units
B
9 units
C
12 units
D
15 units
11

Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. The length of A A prime is 16.

Question illustration
A
One-fifth
Option A
B
One-fourth
Option B
C
4
D
5
12

Rectangle WXYZ was dilated to create W'X'Y'Z'.

Question illustration
A
0.5 units
B
1.2 units
C
1.5 units
D
1.8 units
13

Rectangle WXYZ was dilated using the rule .

Question illustration
A
8 units
B
10 units
C
12 units
D
14 units
14

Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.

Question illustration
A
1.5 units
B
3 units
C
4.5 units
D
6 units
15

Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Select two options.

A
The triangle pre-image is closer to the point of dilation than the image.
B
The triangle image is closer to the point of dilation than the pre-image.
C
The value of the scale factor, , is between 0 and 1.
Option C
D
The value of the scale factor, 6, is greater than 1.
E
The vertices of the pre-image are collinear with the vertices of the image.
16

The scale factor of the dilation of segment HG is .

Question illustration
A
2.5 units
B
3 units
C
4.5 units
D
6 units
17

The perimeter of ΔABC is 13 cm. It was dilated to create ΔA'B'C'.

Question illustration
A
13 cm
B
26 cm
C
39 cm
D
52 cm
18

Line segment AB is dilated to create line segment A'B' using point Q as the center of dilation.

Question illustration
A
1
B
1.25
C
2
D
2.5
19

Dilation was performed on a rectangle. How does the image relate to the pre-image? Select three options.

Question illustration
A
The image is a reduction because 0 < n < 1.
B
The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.
C
The angles of the image are two-fifths the size of the angles of the pre-image.
D
The center of dilation is at point Q.
E
The base of the image is two-fifths the size of the base of the pre-image.
20

To verify that the transformation is a dilation, Jeremy should also check which of the following? Select three options.

A
QB = QE
Option A
B
QC = CF
C
DE = 2AB
D
AC = EF
Option D
E
if BC = 2.25, then EF = 2.25

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